Jacobi’s formula for the derivative of a determinant
gotohaggstrom.com › Jacobis formula for theExample Suppose A = a 11 a 12 a 21 a 22 = 2t t t 3t then: adj A = a 22 a 21 a 12 a 11 t = a 22 a 12 a 21 a 11 Hence A 1= jAj a 22 a 12 a 21 a 11 . To get some feel for how one might calculate the derivative of a matrix with repsect to a parameter, take the simple 2 2 case. The determinant is a function of the matrix so let us consider f(A) = f(a 11;a 12;a 21;a 22) (remember the tdependency